2106881280 has 360 divisors, whose sum is σ = 8618746752. Its totient is φ = 481406976.

The previous prime is 2106881261. The next prime is 2106881299. The reversal of 2106881280 is 821886012.

It is an interprime number because it is at equal distance from previous prime (2106881261) and next prime (2106881299).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724309 + ... + 727211.

Almost surely, 2^2106881280 is an apocalyptic number.

2106881280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309373376).

2106881280 is an abundant number, since it is smaller than the sum of its proper divisors (6511865472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2106881280 is an equidigital number, since it uses as much as digits as its factorization.

2106881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2943 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 2106881280 is about 45900.7764640207. The cubic root of 2106881280 is about 1281.9763739082.

The spelling of 2106881280 in words is "two billion, one hundred six million, eight hundred eighty-one thousand, two hundred eighty".